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2000000212002 = 234135940034021
BaseRepresentation
bin11101000110101001010…
…011010101110000100010
321002012100110020121210000
4131012221103111300202
5230232000023241002
64130442025320430
7264331604210112
oct35065123256042
97065313217700
102000000212002
11701216a860a1
12283744036116
131167a3609a10
146cb2c907042
153705802061c
hex1d1a94d5c22

2000000212002 has 160 divisors (see below), whose sum is σ = 4910458512960. Its totient is φ = 604652895360.

The previous prime is 2000000211977. The next prime is 2000000212019. The reversal of 2000000212002 is 2002120000002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 497386752 + ... + 497390772.

It is an arithmetic number, because the mean of its divisors is an integer number (30690365706).

Almost surely, 22000000212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000000212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455229256480).

2000000212002 is an abundant number, since it is smaller than the sum of its proper divisors (2910458300958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000000212002 is a wasteful number, since it uses less digits than its factorization.

2000000212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8110 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2000000212002 its reverse (2002120000002), we get a palindrome (4002120212004).

The spelling of 2000000212002 in words is "two trillion, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 162 177 234 351 354 531 702 767 1053 1062 1534 1593 2106 2301 3186 4003 4021 4602 4779 6903 8006 8042 9558 12009 12063 13806 20709 24018 24126 36027 36189 41418 52039 52273 62127 72054 72378 104078 104546 108081 108567 124254 156117 156819 216162 217134 236177 237239 312234 313638 324243 325701 468351 470457 472354 474478 648486 651402 708531 711717 936702 940914 1405053 1411371 1417062 1423434 2125593 2135151 2810106 2822742 3070301 3084107 4215159 4234113 4251186 4270302 6140602 6168214 6376779 6405453 8430318 8468226 9210903 9252321 12753558 12810906 16096063 18421806 18504642 19130337 19216359 27632709 27756963 32192126 38260674 38432718 48288189 55265418 55513926 82898127 83270889 96576378 144864567 165796254 166541778 209248819 248694381 249812667 289729134 418497638 434593701 497388762 499625334 627746457 869187402 949667717 1255492914 1303781103 1883239371 1899335434 2607562206 2849003151 3766478742 5649718113 5698006302 8547009453 11299436226 12345680321 16949154339 17094018906 24691360642 25641028359 33898308678 37037040963 51282056718 74074081926 76923085077 111111122889 153846170154 222222245778 333333368667 666666737334 1000000106001 2000000212002